Pith Number

pith:G5US64JQ

pith:2017:G5US64JQP3LFTQQT3WUNFIKFGF

not attested not anchored not stored refs pending

A spectral gap for POVMs

Dor Shmoish, Leonid Polterovich, Victoria Kaminker

arxiv:1706.04151 v3 · 2017-06-13 · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5US64JQP3LFTQQT3WUNFIKFGF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:01:15.389578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37692f71307ed659c213dda8d2a14531529172c0f4b2beacb0e66f6037b0f0a3

Aliases

arxiv: 1706.04151 · arxiv_version: 1706.04151v3 · doi: 10.48550/arxiv.1706.04151 · pith_short_12: G5US64JQP3LF · pith_short_16: G5US64JQP3LFTQQT · pith_short_8: G5US64JQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/G5US64JQP3LFTQQT3WUNFIKFGF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 37692f71307ed659c213dda8d2a14531529172c0f4b2beacb0e66f6037b0f0a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d249bd36f6a53552c7850ed04b889d96401b972ef67a50a3f10274f4193d90",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-13T16:37:07Z",
    "title_canon_sha256": "5fdafeac1c526db2bec4f1c07e6c90468a6b3fd9e41e5f203a596a6946a4bf2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04151",
    "kind": "arxiv",
    "version": 3
  }
}